ON THE STABILIZATION OF THE LINEAR HYBRID SYSTEM STRUCTURE

The linear control hybrid system, consisting of a fi- nite set of subsystems (modes) having different dimensions, is considered. The moments of reset time are determined by some complementary function – evolutionary time. This function satisfies the special complementary ordinary differential equati...

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Bibliographic Details
Main Author: Kirillov
Format: Article
Language:English
Published: Petrozavodsk State University 2014-11-01
Series:Проблемы анализа
Subjects:
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2589&lang=en
Description
Summary:The linear control hybrid system, consisting of a fi- nite set of subsystems (modes) having different dimensions, is considered. The moments of reset time are determined by some complementary function – evolutionary time. This function satisfies the special complementary ordinary differential equation. The mode stabilization problem is solved for some class of piecewise linear controls. The method of stabilization relies on the set of invariant planes, the existence of which is due to the special form of the hybrid system.
ISSN:2306-3424
2306-3432